A Mecke-type formula and Markov properties for STIT tessellation processes

Autor:	Nagel, Werner, Nguyen, Linh Ngoc, Thaele, Christoph, Weiss, Viola
Rok vydání:	2016
Předmět:	Mathematics - Probability 60D05 60G55 60J75
Zdroj:	ALEA 14, 691-718 (2017)
Druh dokumentu:	Working Paper
Popis:	An analogue of the classical Mecke formula for Poisson point processes is proved for the class of space-time STIT tessellation processes. From this key identity the Markov property of a class of associated random processes is derived. This in turn is used to determine the distribution of the number of internal vertices of the typical maximal tessellation segment.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1612.03078 Zobrazit plný text záznamu View this record from Arxiv